[SOLVED] Can vector be broken down to components?

Hi. Here is the URL with some examples: Basic Vector Operations , bottom of the page.
Suppose we have four vectors (A, B, C, D). We know their magnitudes and angles (directions). We add them and produce a new vector R. Let's consider a different situation. Let's say we are given only the resulting vector R (magitude and angle) and number of vectors (4) added to generate the R vector. Can we determine magnitudes and angles of these individual vectors (all of which are unknown)? Thanks.

Is this what you mean?
The vector <1,-2,5> is the result of<3,4,0>+<-1,-6,2>+<-1,0,3>.
BUT ALSO, <1,-2,5>=<1,0,0>+<0,-2,0>+<0,0,5>.
Any given vector in R^3 is the linear sum of infinitely many three-element sets of vectors. So I think the answer to your question is no.